МАКРОСКОПІЧНИЙ ТУРБУЛЕНТНИЙ ДІАМАГНЕТИЗМ СОНЯЧНОЇ ПЛАЗМИ

Turbulent motions and convection in cosmic plasma play a key role in the processes of magnetic fields evolution in astrophysical conditions. Involvement of turbulent motions in the consideration, when studying the reconstruction of magnetic fields, ended with the creation of the theory of magnetohydrodynamics of mean turbulent magnetic fields, which in the literature was called macroscopic MHD. One of the important effects of macroscopic MHD is called turbulent diamagnetism. The physical essence of the effect of macroscopic turbulent diamagnetism consists in the displacement of global (mean) magnetic fields from areas of increased intensity of turbulent pulsations to places with less developed turbulence along the gradient of turbulent viscosity gradient νT with an effective macroscopic velocity Uμ = -V̅νT/2 (νT ≈ (1/3)ul, u and l are the effective velocity and the characteristic pulsation scale of the velocity). We considered the role of macroscopic turbulent diamagnetism in the formation of the magnetic field layer in the lower part of the solar convection zone (SCZ). We calculated the radial distribution of the turbulent viscosity νT along the depth z for the SCZ model of Stix (2002). It was found that the radial distribution of this parameter has the form of a convex function νT(z) with a maximum approximately in the middle of the SCZ (z ≈ 140,000 km). Noticeable positive radial gradient of the turbulent viscosity V̅νT, which is found in the lower part of the SCZ, causes a downward intense diamagnetic displacement of the toroidal magnetic field, the velocity of which reaches the value Uμ ≈ 4x103 cm/s near the lower base of the SCZ (z ≈ 180,000 km). Therefore, macroscopic turbulent diamagnetism in deep layers plays the role of negative magnetic buoyancy. Macroscopic diamagnetism acts against magnetic buoyancy, the velocity of which is UB(B) = B/(4πρ)1/2 (B is the magnetic induction, ρ is the density of plasma), and contributes to the formation of a magnetic layer of a steady state toroidal magnetic field with a strength of BS = (4πρ)1/2 νT/2 ≈ 3000–4000 G.

Publication Details

Journal
The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Published
2024-11-27
Primary Topic
Solar and Space Plasma Dynamics
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

МАКРОСКОПІЧНИЙ ТУРБУЛЕНТНИЙ ДІАМАГНЕТИЗМ СОНЯЧНОЇ ПЛАЗМИ

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Solar and Space Plasma Dynamics
article

МАКРОСКОПІЧНИЙ ТУРБУЛЕНТНИЙ ДІАМАГНЕТИЗМ СОНЯЧНОЇ ПЛАЗМИ

article en

Abstract

Turbulent motions and convection in cosmic plasma play a key role in the processes of magnetic fields evolution in astrophysical conditions. Involvement of turbulent motions in the consideration, when studying the reconstruction of magnetic fields, ended with the creation of the theory of magnetohydrodynamics of mean turbulent magnetic fields, which in the literature was called macroscopic MHD. One of the important effects of macroscopic MHD is called turbulent diamagnetism. The physical essence of the effect of macroscopic turbulent diamagnetism consists in the displacement of global (mean) magnetic fields from areas of increased intensity of turbulent pulsations to places with less developed turbulence along the gradient of turbulent viscosity gradient νT with an effective macroscopic velocity Uμ = -V̅νT/2 (νT ≈ (1/3)ul, u and l are the effective velocity and the characteristic pulsation scale of the velocity). We considered the role of macroscopic turbulent diamagnetism in the formation of the magnetic field layer in the lower part of the solar convection zone (SCZ). We calculated the radial distribution of the turbulent viscosity νT along the depth z for the SCZ model of Stix (2002). It was found that the radial distribution of this parameter has the form of a convex function νT(z) with a maximum approximately in the middle of the SCZ (z ≈ 140,000 km). Noticeable positive radial gradient of the turbulent viscosity V̅νT, which is found in the lower part of the SCZ, causes a downward intense diamagnetic displacement of the toroidal magnetic field, the velocity of which reaches the value Uμ ≈ 4x103 cm/s near the lower base of the SCZ (z ≈ 180,000 km). Therefore, macroscopic turbulent diamagnetism in deep layers plays the role of negative magnetic buoyancy. Macroscopic diamagnetism acts against magnetic buoyancy, the velocity of which is UB(B) = B/(4πρ)1/2 (B is the magnetic induction, ρ is the density of plasma), and contributes to the formation of a magnetic layer of a steady state toroidal magnetic field with a strength of BS = (4πρ)1/2 νT/2 ≈ 3000–4000 G.

The Scientific Issues of Ternopil Volodymyr Hnatiuk National Pedagogical University Series pedagogy
Openalex Percentile: Top 41%
Solar and Space Plasma Dynamics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.